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Question : The average height of 30 boys out of a class of 50 is 160 cm. If the average height of the remaining boys is 165 cm, the average height of the whole class (in cm) is:

Option 1: 161

Option 2: 162

Option 3: 163

Option 4: 164


Team Careers360 15th Jan, 2024
Answer (1)
Team Careers360 23rd Jan, 2024

Correct Answer: 162


Solution : Given:
The average height of 30 boys out of a class of 50 is 160 cm.
Average height of remaining boys = 165 cm
Formula Used:
$\text{Average} = \frac{\text{Sum of the heights of all the students}}{\text{Number of students}}$
Calculation:
Total height of 30 boys $= 30 \times 160 = 4800$
Total height of 20 boys $= 20 \times 165= 3300$
Average height $= \frac{4800 + 3300}{50} = 162$ cm
Hence, the correct answer is 162 cm.

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